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strojnjashka [21]

3 years ago

14

Please help me. Factor. 5x^+23x+26

1 answer:

Alexus [3.1K]3 years ago

4 0

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Skip Ad <span> <span> <span> <span> </span> <span>
</span></span></span></span> <span><span> 5x2-23x=-26</span> </span>Two solutions were found :<span><span> x = 2 </span><span> x = 13/5 = 2.600
</span></span>

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

5*x^2-23*x-(-26)=0

Step by step solution :Skip Ad
<span> Step 1 :</span><span>Equation at the end of step 1 :</span><span> (5x2 - 23x) - -26 = 0 </span><span> Step 2 :</span>Trying to factor by splitting the middle term

<span> 2.1 </span> Factoring <span> 5x2-23x+26</span>

The first term is, <span> <span>5x2</span> </span> its coefficient is <span> 5 </span>.
The middle term is, <span> -23x </span> its coefficient is <span> -23 </span>.
The last term, "the constant", is <span> +26 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> 5 • 26 = 130</span>

Step-2 : Find two factors of 130 whose sum equals the coefficient of the middle term, which is <span> -23 </span>.

<span><span>       -130    +    -1    =    -131 <span>
</span> </span> <span>       -65    +    -2    =    -67 <span>
</span> </span> <span>       -26    +    -5    =    -31 <span>
</span> </span> <span>       -13    +    -10    =    -23    That's it</span></span>

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